Pith Number

pith:ILJILYCH

pith:2010:ILJILYCH2RYUELIFPOUFRKW6UO

not attested not anchored not stored refs pending

Order and disorder in energy minimization

Henry Cohn

arxiv:1003.3053 v2 · 2010-03-16 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILJILYCH2RYUELIFPOUFRKW6UO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:53:05.247509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d285e047d471422d057ba858aadea387ca59a8eac26a819e549ebe758e2795

Aliases

arxiv: 1003.3053 · arxiv_version: 1003.3053v2 · doi: 10.48550/arxiv.1003.3053 · pith_short_12: ILJILYCH2RYU · pith_short_16: ILJILYCH2RYUELIF · pith_short_8: ILJILYCH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ILJILYCH2RYUELIFPOUFRKW6UO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 42d285e047d471422d057ba858aadea387ca59a8eac26a819e549ebe758e2795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebe2e081927c740d7e93d6a7af9741da72d5a83732cbd669683197927d8a348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-16T01:13:08Z",
    "title_canon_sha256": "78340acc54751ee610e2935bd08800e48f931892e08c6c4a6be238b3579021ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3053",
    "kind": "arxiv",
    "version": 2
  }
}